Terms and Common Ratios of Geometric Sequences | math4u.vsb.cz

Submitted by vladimir.arzt on Fri, 03/01/2024 - 11:54

Project ID:

7100000009

Accepted:

SubArea:

Geometric sequences

Type:

Layout:

Question:

Match the given geometric sequences

(a_{n})_{n = 1}^{\infty}

with their sought terms

(a_{n})

, common ratios

(q)

, or partial sums

(s_{n})

.

Question 1:

a_{n} = (- 2)^{n}; a_{1} = ?

Answer 1:

- 2

Question 2:

a_{n} = (\frac{1}{2})^{n}; q = ?

Answer 2:

\frac{1}{2}

Question 3:

a_{n} = 2 \cdot (\frac{1}{2})^{n}; a_{1} = ?

Answer 3:

1

Question 4:

a_{n} = 2 \cdot (- 1)^{n}; a_{10} = ?

Answer 4:

2

Question 5:

a_{1} = - 8; a_{2} = 4; q = ?

Answer 5:

- \frac{1}{2}

Question 6:

a_{1} = - 0.01; a_{2} = 0.1; a_{3} = ?

Answer 6:

- 1

Question 7:

a_{1} = 1; q = 1; s_{10} = ?

Answer 7:

10

Question 8:

a_{1} = - 10; q = 0; s_{10} = ?

Answer 8:

- 10

Question 9:

a_{n} = (- 1)^{n}; s_{10} = ?

Answer 9:

0